PMF of linear transformations
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- Probability Theory, Statistics and Exploratory Data Analysis
- Week 3
- PMF of linear transformations
- Video: LectureIntroduction to the 3rd week. Duration: 5 minutes5 min
- Video: LectureLinear transformations of random variables. Duration: 8 minutes8 min
- Quiz: PMF of linear transformations1 question
- Video: LectureLinearity of expected value. Duration: 6 minutes6 min
- Video: LectureSymmetric distributions and their expected values. Duration: 6 minutes6 min
- Video: LectureFunctions of random variables. Duration: 5 minutes5 min
- Video: LectureProperties of variance. Duration: 6 minutes6 min
- Video: LectureSum of random variables. Expected value and variance. Duration: 8 minutes8 min
- Quiz: Expectation properties2 questions
- Video: LectureJoint probability distribution. Duration: 12 minutes12 min
- Video: LectureMarginal distribution. Duration: 8 minutes8 min
- Quiz: Joint distribution skill test3 questions
- Video: LectureIndependent random variables. Duration: 7 minutes7 min
- Video: LectureAnother example of non-independent random variables. Duration: 8 minutes8 min
- Quiz: Joint PMF2 questions
- Video: LectureExpected value of product of independent random variables. Duration: 8 minutes8 min
- Video: LectureVariance of sum of random variables. Covariance. Duration: 11 minutes11 min
- Quiz: Variance of Binomial random variable1 question
- Video: LectureProperties of covariance. Duration: 10 minutes10 min
- Quiz: Covariance for a dice roll1 question
- Video: LectureCorrelation of two random variables. Duration: 7 minutes7 min
- Quiz: Correlation quiz1 question
- Video: LectureSystems of random variables. Highlights. Duration: 3 minutes3 min
